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Finding the Fourth Proportional to 264,669.96, 396,781.76 and 114,797.37

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Solution

The fourth proportional to 264,669.96, 396,781.76 and 114,797.37 is: 172,099.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,669.96 : 396,781.76 = 114,797.37 : x
  2. Step 2: Convert to fraction form
    264,669.96/396,781.76 = 114,797.37/x
  3. Step 3: Cross multiply
    264,669.96x = 396,781.76 × 114,797.37
  4. Step 4: Simplify right side
    264,669.96x = 45,549,501,409.26
  5. Step 5: Solve for x
    x = 45,549,501,409.26/264,669.96
  6. Step 6: Final answer
    x = 172,099.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.